| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...with the angles at F, which are equal to four right angles. I. 15, Cor. Therefore all the interior **angles of the figure, together with four right angles,...twice as many right angles as the figure has sides.** QEI>. COROLLARY 2. If the sides of a rectilineal figure, which has no re.entrant angle, are produced... | |
| Sidney Herbert Wells - Machine design - 1900 - 202 pages
...depends upon Corollary I. of Euclid i., 32, which says that " the interior angles of any straight lined **figure together with four right angles are equal to...twice as many right angles as the figure has sides."** The most common of the regular polygons used in engineering designs are the pentagon (five-sided),... | |
| Arthur Thomas Walmisley - Leveling - 1900 - 354 pages
...of all the interior angles of any rectilineal figure, together with four right angles, are together **equal to twice as many right angles as the figure has sides.** In a traverse survey the number of stations should be as few as possible, and as much care should be... | |
| Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...all truth is axiomatic. We shall only say that just as well Euclid might have made it an axiom that " **all the exterior angles of any rectilineal figure are together equal to four right angles."** That is certainly " not axiomatic until " Prop. 32, Cor. 1, " has been proved." It is a very obvious... | |
| Education - 1902 - 940 pages
...that LP is less than LM. 3. Prove that the sum of the interior angles of any rectilineal figure is **equal to twice as many right angles as the figure has sides,** diminished by four right angles. 14. ABC is an equilateral triangle in which AD is drawn perpendicular... | |
| John Whitelaw - Surveying - 1902 - 634 pages
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is **equal to twice as many right angles as the figure has sides,** less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the interior... | |
| 1903 - 896 pages
...only one. So also of questions 3 and 3 A.] 1. Show that all the interior angles of any rectilineal **figure together with four right angles are equal to...twice as many right angles as the figure has sides.** A BCD is a quadrilateral figure, and the angles at A, B, C and D are bisected. Straight lines are drawn... | |
| American School (Lansing, Ill.) - Engineering - 1903 - 390 pages
...ABCDEF oe the given polygon. To prove that the sum of the interior angles A, B, C, D, E, and F, is **equal to twice as many right angles as the figure has sides** minus two. If from any vertex as A, diagonals AC, AD, AE, are drawn, the polygon will be divided into... | |
| Alfred Baker - Geometry - 1903 - 154 pages
...From the result reached in the previous question, show that all the interior angles of any polygon **are equal to twice as many right angles as the figure has** angles (or sides), less four right angles. 5. How many right angles is the sum of all the angles in... | |
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